Information on Result #60102

There is no OA(4113, 139, S4, 81), because the linear programming bound shows that M ≥ 270 676957 998568 775166 883930 110227 193694 274801 571525 181006 240705 968272 390265 652071 366656 / 2 060995 576092 406625 > 4113

Mode: Bound.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(4113, 139, S4, 2, 81) [i]Depth Reduction
2No OOA(4113, 139, S4, 3, 81) [i]
3No (32, 113, 139)-net in base 4 [i]Extracting Embedded Orthogonal Array